Explanation for bond lengths in trans-hexatriene












2














Hexatriene is an unsaturated hydrocarbon with six carbon atoms and five carbon-carbon bonds, three of which are double bonds.



However, the bond lengths of the $ce{C=C}$ bonds are not the same. The middle $ce{C=C}$ bond has a length of 137 pm while the $ce{C=C}$ bonds at the end of the molecule have lengths of 134 pm, the length of a standard $ce{C=C}$ bond. The two carbon-carbon single bonds are 146 pm long, also off from the standard 154 pm length of carbon-carbon single bonds.



Bond lengths



Clayden's organic chemistry hints that the explanation has to do with the molecular orbits formed and the conjugation system in the molecule. However, I do not fully understand this explanation.



Why do these carbon-carbon bonds show this unusual bond length behavior? A thourough explanation using MO theory would be appreciated.



References



Clayden, J., Greeves, N., Warren, S. Organic chemistry, 2nd ed.; Oxford University Press: New York, 2012.










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    2














    Hexatriene is an unsaturated hydrocarbon with six carbon atoms and five carbon-carbon bonds, three of which are double bonds.



    However, the bond lengths of the $ce{C=C}$ bonds are not the same. The middle $ce{C=C}$ bond has a length of 137 pm while the $ce{C=C}$ bonds at the end of the molecule have lengths of 134 pm, the length of a standard $ce{C=C}$ bond. The two carbon-carbon single bonds are 146 pm long, also off from the standard 154 pm length of carbon-carbon single bonds.



    Bond lengths



    Clayden's organic chemistry hints that the explanation has to do with the molecular orbits formed and the conjugation system in the molecule. However, I do not fully understand this explanation.



    Why do these carbon-carbon bonds show this unusual bond length behavior? A thourough explanation using MO theory would be appreciated.



    References



    Clayden, J., Greeves, N., Warren, S. Organic chemistry, 2nd ed.; Oxford University Press: New York, 2012.










    share|improve this question



























      2












      2








      2







      Hexatriene is an unsaturated hydrocarbon with six carbon atoms and five carbon-carbon bonds, three of which are double bonds.



      However, the bond lengths of the $ce{C=C}$ bonds are not the same. The middle $ce{C=C}$ bond has a length of 137 pm while the $ce{C=C}$ bonds at the end of the molecule have lengths of 134 pm, the length of a standard $ce{C=C}$ bond. The two carbon-carbon single bonds are 146 pm long, also off from the standard 154 pm length of carbon-carbon single bonds.



      Bond lengths



      Clayden's organic chemistry hints that the explanation has to do with the molecular orbits formed and the conjugation system in the molecule. However, I do not fully understand this explanation.



      Why do these carbon-carbon bonds show this unusual bond length behavior? A thourough explanation using MO theory would be appreciated.



      References



      Clayden, J., Greeves, N., Warren, S. Organic chemistry, 2nd ed.; Oxford University Press: New York, 2012.










      share|improve this question















      Hexatriene is an unsaturated hydrocarbon with six carbon atoms and five carbon-carbon bonds, three of which are double bonds.



      However, the bond lengths of the $ce{C=C}$ bonds are not the same. The middle $ce{C=C}$ bond has a length of 137 pm while the $ce{C=C}$ bonds at the end of the molecule have lengths of 134 pm, the length of a standard $ce{C=C}$ bond. The two carbon-carbon single bonds are 146 pm long, also off from the standard 154 pm length of carbon-carbon single bonds.



      Bond lengths



      Clayden's organic chemistry hints that the explanation has to do with the molecular orbits formed and the conjugation system in the molecule. However, I do not fully understand this explanation.



      Why do these carbon-carbon bonds show this unusual bond length behavior? A thourough explanation using MO theory would be appreciated.



      References



      Clayden, J., Greeves, N., Warren, S. Organic chemistry, 2nd ed.; Oxford University Press: New York, 2012.







      organic-chemistry bond molecular-orbital-theory






      share|improve this question















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      edited 3 hours ago









      orthocresol

      37.9k7111227




      37.9k7111227










      asked 4 hours ago









      Ethiopius

      7817




      7817






















          1 Answer
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          4














          If you derive the π-type molecular orbitals of hexatriene, the three lower-energy MOs which are filled would look something like this (image from p 33 of Fleming's Molecular Orbitals and Organic Chemical Reactions, Reference Edition):



          Filled π MOs of hexatriene



          I suspect what Clayden is getting at is that in the second MO, there is some antibonding character between C3 and C4, whereas the C1/C2 and C5/C6 interaction is purely bonding.






          share|improve this answer





















          • And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
            – Ethiopius
            2 hours ago






          • 2




            Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
            – orthocresol
            2 hours ago













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          1 Answer
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          1 Answer
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          active

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          active

          oldest

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          active

          oldest

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          4














          If you derive the π-type molecular orbitals of hexatriene, the three lower-energy MOs which are filled would look something like this (image from p 33 of Fleming's Molecular Orbitals and Organic Chemical Reactions, Reference Edition):



          Filled π MOs of hexatriene



          I suspect what Clayden is getting at is that in the second MO, there is some antibonding character between C3 and C4, whereas the C1/C2 and C5/C6 interaction is purely bonding.






          share|improve this answer





















          • And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
            – Ethiopius
            2 hours ago






          • 2




            Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
            – orthocresol
            2 hours ago


















          4














          If you derive the π-type molecular orbitals of hexatriene, the three lower-energy MOs which are filled would look something like this (image from p 33 of Fleming's Molecular Orbitals and Organic Chemical Reactions, Reference Edition):



          Filled π MOs of hexatriene



          I suspect what Clayden is getting at is that in the second MO, there is some antibonding character between C3 and C4, whereas the C1/C2 and C5/C6 interaction is purely bonding.






          share|improve this answer





















          • And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
            – Ethiopius
            2 hours ago






          • 2




            Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
            – orthocresol
            2 hours ago
















          4












          4








          4






          If you derive the π-type molecular orbitals of hexatriene, the three lower-energy MOs which are filled would look something like this (image from p 33 of Fleming's Molecular Orbitals and Organic Chemical Reactions, Reference Edition):



          Filled π MOs of hexatriene



          I suspect what Clayden is getting at is that in the second MO, there is some antibonding character between C3 and C4, whereas the C1/C2 and C5/C6 interaction is purely bonding.






          share|improve this answer












          If you derive the π-type molecular orbitals of hexatriene, the three lower-energy MOs which are filled would look something like this (image from p 33 of Fleming's Molecular Orbitals and Organic Chemical Reactions, Reference Edition):



          Filled π MOs of hexatriene



          I suspect what Clayden is getting at is that in the second MO, there is some antibonding character between C3 and C4, whereas the C1/C2 and C5/C6 interaction is purely bonding.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 2 hours ago









          orthocresol

          37.9k7111227




          37.9k7111227












          • And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
            – Ethiopius
            2 hours ago






          • 2




            Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
            – orthocresol
            2 hours ago




















          • And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
            – Ethiopius
            2 hours ago






          • 2




            Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
            – orthocresol
            2 hours ago


















          And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
          – Ethiopius
          2 hours ago




          And this antibonding interaction between C3 and C4 would cause the double bond to have slight single bond character, which would explain the longer than usual bond length for the C3=C4 bond?
          – Ethiopius
          2 hours ago




          2




          2




          Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
          – orthocresol
          2 hours ago






          Yes, pretty much. So it is something like a 1.99-bond, if that makes any sense. (That number's made up, of course.)
          – orthocresol
          2 hours ago




















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